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120893021952 = 283271580859
BaseRepresentation
bin111000010010111001…
…0010001111100000000
3102120001020112211022120
41300211302101330000
53440042103200302
6131312033004240
711506561505643
oct1604562217400
9376036484276
10120893021952
11472a7a6079a
121b51a9b3680
13b528209821
145bcbba7a5a
1532285a49bc
hex1c25c91f00

120893021952 has 72 divisors (see below), whose sum is σ = 322939572480. Its totient is φ = 40148904960.

The previous prime is 120893021947. The next prime is 120893021971. The reversal of 120893021952 is 259120398021.

120893021952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82302 + ... + 498557.

It is an arithmetic number, because the mean of its divisors is an integer number (4485271840).

Almost surely, 2120893021952 is an apocalyptic number.

120893021952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120893021952 is an abundant number, since it is smaller than the sum of its proper divisors (202046550528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120893021952 is an equidigital number, since it uses as much as digits as its factorization.

120893021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581149 (or 581135 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 120893021952 in words is "one hundred twenty billion, eight hundred ninety-three million, twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 542 768 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 34688 52032 69376 104064 208128 580859 1161718 1742577 2323436 3485154 4646872 6970308 9293744 13940616 18587488 27881232 37174976 55762464 74349952 111524928 148699904 157412789 223049856 314825578 446099712 472238367 629651156 944476734 1259302312 1888953468 2518604624 3777906936 5037209248 7555813872 10074418496 15111627744 20148836992 30223255488 40297673984 60446510976 120893021952